101212001010120 has 768 divisors, whose sum is σ = 418995937382400. Its totient is φ = 18888576675840.

The previous prime is 101212001010091. The next prime is 101212001010161. The reversal of 101212001010120 is 21010100212101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101212001010096 and 101212001010105.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164136541 + ... + 164752019.

It is an arithmetic number, because the mean of its divisors is an integer number (545567626800).

Almost surely, 2^{101212001010120} is an apocalyptic number.

101212001010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212001010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209497968691200).

101212001010120 is an abundant number, since it is smaller than the sum of its proper divisors (317783936372280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101212001010120 is a wasteful number, since it uses less digits than its factorization.

101212001010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615598 (or 615557 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101212001010120 its reverse (21010100212101), we get a palindrome (122222101222221).

The spelling of 101212001010120 in words is "one hundred one trillion, two hundred twelve billion, one million, ten thousand, one hundred twenty".